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> ## traditional MM Likert outcome (coder race correlated w photos observed)
> ## only target photos used for analysis
> ##
> ## August 9, 2019
> ##
> ## Kevin Quinn
> ## University of Michigan
> ##
> 
> library(MCMCpack)
Loading required package: coda
Loading required package: MASS
##
## Markov Chain Monte Carlo Package (MCMCpack)
## Copyright (C) 2003-2019 Andrew D. Martin, Kevin M. Quinn, and Jong Hee Park
##
## Support provided by the U.S. National Science Foundation
## (Grants SES-0350646 and SES-0350613)
##
> set.seed(76341)
> 
> mydata <- read.csv("../ScaleRaceSpring2017clean.csv")
> 
> ## subset data
> mydata <- mydata[(mydata$condition %in% c("P1B", "P1W") & mydata$R.race == "Black") | (mydata$condition %in% c("P2B", "P2W") & mydata$R.race == "White"),]
> 
> 
> ## keep target responses and photo IDs but nothing else
> target.inds <- c(6, 7, 10, 12, 15, 17, 19, 20, 22, 23)
> keep.vars <- c(paste("X", target.inds, "_Q329", sep=""),
+                paste("X", target.inds, "a.id", sep=""))
> 
> mydata.sub <- mydata[, keep.vars]
> 
> 
> 
> 
> ## reshape into long format
> mydata.sub.long <- reshape(mydata.sub, direction="long",
+                            varying=list(c(1:10), c(11:20)),
+                            v.names=c("Y", "photoID"),
+                            ids=rownames(mydata.sub))
> 
> ## keep only obs with non-missing values for MM
> mydata.sub.long <- na.omit(mydata.sub.long)
> mydata.sub.long <- mydata.sub.long[sample(1:nrow(mydata.sub.long),
+                                           size=1000, replace=FALSE),]
> 
> 
> cat("\n\nN =", nrow(mydata.sub.long), "\n\n") 


N = 1000 

> 
> 
> a1.M2.out <- MCMCoprobit(Y ~ as.factor(photoID), data=mydata.sub.long,
+                          burnin=50000, mcmc=1000000, thin=50, tune=0.06,
+                          verbose=10000, seed=62282
+                          )


MCMCoprobit iteration 1 of 1050000 
beta = 
   4.04196
   0.64097
   4.26746
  -0.65921
   1.79155
   1.50894
   1.11430
  -1.09115
   1.33954
   1.75023
  -0.14206
   1.66281
  -0.95238
  -0.76010
   0.18206
   1.81833
   0.35610
  -0.86302
  -0.33594
  -0.31858
   0.34243
   2.20312
   2.84666
   0.44753
  -3.36649
  -2.40483
  -3.32692
  -4.10711
  -2.37304
  -3.18942
  -3.86491
  -4.43365
  -5.13038
  -4.20183
  -3.20981
  -4.10954
  -4.87743
  -3.76159
  -3.80221
  -4.59696
  -3.44725
  -4.43359
  -3.94815
  -3.24167
  -3.90997
  -3.73350
  -2.55123
  -3.84013
Metropolis acceptance rate for gamma = 1.00000



MCMCoprobit iteration 10001 of 1050000 
beta = 
   4.46659
  -0.67158
   3.10799
  -0.88727
   1.08090
   0.42303
   0.24693
  -1.73035
   0.77516
   1.18579
  -0.77517
   1.26444
  -1.53558
  -1.68258
  -0.27016
   0.93947
  -0.31310
  -1.49267
  -1.09735
  -0.54310
  -0.39893
   1.83570
   2.28310
   0.07598
  -3.37988
  -2.88444
  -3.84156
  -4.22058
  -3.22808
  -4.07962
  -4.83864
  -4.81427
  -5.45738
  -4.54603
  -3.61833
  -4.62488
  -5.23942
  -4.43066
  -4.31097
  -4.81374
  -4.13614
  -4.87881
  -3.72365
  -3.43162
  -4.58114
  -4.31322
  -2.99825
  -4.04352
Metropolis acceptance rate for gamma = 0.26547



MCMCoprobit iteration 20001 of 1050000 
beta = 
   3.79811
   0.58520
   4.18612
  -0.20440
   1.68404
   1.44284
   0.79909
  -0.71731
   1.54324
   1.82788
   0.10073
   1.73455
  -0.67230
  -0.94389
   0.63730
   1.44374
   0.36194
  -0.83714
  -0.30411
  -0.01033
   0.24892
   2.36323
   2.45135
   0.87442
  -2.72326
  -2.45846
  -3.41510
  -4.04625
  -2.34053
  -3.54945
  -3.71746
  -3.50281
  -4.96060
  -3.83336
  -3.62830
  -4.61768
  -4.60932
  -3.59552
  -4.08181
  -4.27652
  -3.09167
  -3.78450
  -3.13029
  -2.49099
  -4.07587
  -3.66611
  -2.28678
  -3.65627
Metropolis acceptance rate for gamma = 0.26314



MCMCoprobit iteration 30001 of 1050000 
beta = 
   4.21009
   0.32481
   3.24653
  -0.50680
   1.59607
   1.21813
   0.68797
  -0.89435
   1.18650
   1.15233
  -0.20141
   1.63565
  -1.10174
  -1.37721
   0.20287
   1.16647
  -0.16464
  -0.63752
  -0.72879
  -0.10060
  -0.12213
   1.72116
   2.16989
   0.40634
  -3.35027
  -2.53842
  -3.57903
  -4.04385
  -2.46793
  -3.71668
  -4.69135
  -3.99716
  -4.95908
  -4.15151
  -3.63438
  -4.28397
  -4.67878
  -4.09299
  -4.28249
  -4.30409
  -3.99474
  -4.96790
  -3.73189
  -3.06676
  -3.90564
  -3.80290
  -2.73934
  -3.88619
Metropolis acceptance rate for gamma = 0.25849



MCMCoprobit iteration 40001 of 1050000 
beta = 
   3.87499
   0.33279
   3.69085
  -0.54832
   1.35972
   1.40549
   0.64373
  -1.35772
   1.21001
   1.51561
  -0.16231
   1.78728
  -0.70459
  -1.02648
   0.25494
   1.39100
   0.04746
  -0.66472
  -0.65249
  -0.79394
   0.31937
   1.59927
   2.50613
   0.44910
  -3.16794
  -2.41169
  -3.51526
  -4.05790
  -3.06525
  -3.24053
  -4.33266
  -3.93817
  -4.69144
  -3.59118
  -3.48888
  -4.34101
  -4.95313
  -3.96217
  -4.02348
  -4.11357
  -2.90855
  -4.20037
  -2.98783
  -3.50561
  -4.26693
  -3.63086
  -2.80519
  -3.27139
Metropolis acceptance rate for gamma = 0.26147



MCMCoprobit iteration 50001 of 1050000 
beta = 
   3.58003
   0.70534
   4.58664
  -0.23196
   1.82140
   1.85585
   1.29722
  -0.68370
   1.95593
   1.89807
   0.30078
   2.30199
  -0.89216
  -0.54447
   0.37546
   1.60172
   0.47389
  -0.55142
  -0.44885
  -0.08722
   0.74990
   2.76564
   2.67976
   0.79217
  -2.48387
  -1.91093
  -2.81500
  -3.55417
  -2.18561
  -3.39226
  -3.65880
  -3.69188
  -4.94363
  -3.28672
  -3.00503
  -4.02411
  -4.11038
  -3.83559
  -3.42164
  -3.75966
  -3.07220
  -3.86603
  -3.13998
  -2.28490
  -4.04107
  -3.21940
  -2.21490
  -3.33569
Metropolis acceptance rate for gamma = 0.26223



MCMCoprobit iteration 60001 of 1050000 
beta = 
   3.61089
   0.62411
   3.99207
  -0.14562
   1.94583
   1.51313
   1.28973
  -0.90994
   1.44734
   1.88787
   0.69571
   2.42083
  -0.27568
  -0.68294
   0.17506
   1.97481
   0.30688
  -0.88237
  -0.03511
  -0.15370
   0.46998
   2.29941
   2.71563
   0.81598
  -2.67963
  -2.53367
  -2.73997
  -2.94126
  -2.21676
  -3.02209
  -3.34321
  -3.50174
  -4.66944
  -3.65794
  -2.88704
  -3.53803
  -4.35815
  -3.55198
  -3.49157
  -4.28829
  -3.14214
  -3.41039
  -3.35518
  -2.20277
  -4.12654
  -3.70765
  -2.27015
  -3.29775
Metropolis acceptance rate for gamma = 0.26088



MCMCoprobit iteration 70001 of 1050000 
beta = 
   3.57890
   0.44627
   4.10173
  -0.43062
   1.57020
   1.55048
   1.10200
  -0.85878
   1.58807
   1.36686
   0.42128
   2.04028
  -1.01132
  -0.62158
   0.48555
   1.97954
   0.26203
  -0.91816
  -0.36298
  -0.04036
   0.12922
   2.16739
   2.55611
   0.68101
  -2.95324
  -2.25635
  -2.84991
  -3.67382
  -2.06869
  -3.15045
  -3.57607
  -3.24138
  -4.41549
  -3.63758
  -2.96077
  -3.91865
  -4.75605
  -3.55795
  -3.92833
  -4.13118
  -3.25320
  -3.99866
  -3.11672
  -2.35680
  -3.93848
  -3.58857
  -2.60156
  -3.09011
Metropolis acceptance rate for gamma = 0.26038



MCMCoprobit iteration 80001 of 1050000 
beta = 
   4.19341
  -0.44062
   3.85778
  -0.48685
   1.36725
   1.29908
   0.71028
  -1.26574
   0.78719
   1.38524
  -0.71067
   1.34653
  -1.24981
  -1.37243
  -0.05639
   1.07943
   0.04667
  -1.41230
  -0.70295
  -0.58616
  -0.44352
   1.84570
   2.04891
   0.45207
  -3.32680
  -2.82236
  -3.49572
  -3.89816
  -2.76662
  -3.99833
  -4.48580
  -4.03551
  -5.39257
  -4.32765
  -3.60524
  -4.50855
  -5.02523
  -4.41566
  -4.36174
  -3.98297
  -3.51728
  -4.24544
  -3.56809
  -3.28431
  -4.51096
  -3.96934
  -2.99368
  -3.39498
Metropolis acceptance rate for gamma = 0.26055



MCMCoprobit iteration 90001 of 1050000 
beta = 
   3.86604
   0.20429
   3.42101
  -0.54484
   1.86502
   1.10425
   1.26647
  -1.22976
   1.22652
   1.19381
  -0.19011
   1.53097
  -0.82990
  -1.22037
  -0.09630
   1.51736
  -0.47727
  -1.42339
  -0.52086
  -0.00037
   0.03095
   2.14094
   2.11918
   0.44333
  -2.91996
  -2.00690
  -3.78264
  -3.75612
  -2.65405
  -3.11922
  -4.52622
  -3.98159
  -4.84487
  -3.57723
  -3.09276
  -3.67949
  -4.80399
  -3.99840
  -3.70249
  -4.09568
  -3.05426
  -4.40271
  -3.28073
  -2.97736
  -3.75208
  -3.38755
  -1.82106
  -3.34675
Metropolis acceptance rate for gamma = 0.26002



MCMCoprobit iteration 100001 of 1050000 
beta = 
   3.37327
   0.39770
   4.31403
   0.11333
   1.51993
   1.82170
   0.93633
  -0.45757
   1.54630
   1.98728
   0.27060
   2.16230
  -0.33951
  -0.80621
   0.48474
   1.60645
   0.89453
  -0.48113
  -0.16849
  -0.05420
   0.38828
   2.42753
   2.80210
   1.13672
  -2.44045
  -1.81662
  -3.25008
  -2.72761
  -1.56868
  -2.94774
  -3.53399
  -3.33479
  -4.38038
  -2.82788
  -2.98099
  -3.63508
  -4.72337
  -3.48637
  -3.31286
  -3.98504
  -2.75975
  -3.82215
  -2.73901
  -2.68100
  -3.46133
  -3.28914
  -1.75641
  -3.35781
Metropolis acceptance rate for gamma = 0.25934



MCMCoprobit iteration 110001 of 1050000 
beta = 
   3.33348
   0.55910
   4.84527
   0.04335
   2.22267
   1.63985
   0.81807
  -0.74482
   1.55799
   2.21213
  -0.01046
   2.31396
  -0.35522
  -0.68088
   0.93333
   2.12627
   0.69096
  -0.27641
  -0.41221
   0.18400
   0.25064
   2.26275
   2.93225
   0.85916
  -2.78085
  -2.13819
  -2.64812
  -3.50472
  -2.02088
  -2.69597
  -3.49986
  -3.07391
  -4.74324
  -2.91236
  -2.81496
  -3.77125
  -4.73310
  -3.78825
  -3.43076
  -4.04871
  -2.38105
  -4.08111
  -2.98847
  -2.26874
  -3.81059
  -2.75244
  -2.16672
  -3.10552
Metropolis acceptance rate for gamma = 0.25892



MCMCoprobit iteration 120001 of 1050000 
beta = 
   4.24029
   0.21914
   3.53815
  -0.81255
   1.18127
   1.11384
   0.45101
  -1.78198
   0.90258
   1.13730
  -0.29770
   1.81804
  -1.15981
  -1.00890
   0.25879
   1.17391
  -0.28605
  -1.29537
  -0.77858
  -0.65982
  -0.56566
   1.90528
   2.21212
   0.43778
  -3.52082
  -3.64116
  -2.96757
  -3.77841
  -2.88559
  -3.83468
  -4.32813
  -3.84092
  -5.29086
  -4.15158
  -3.66736
  -5.19596
  -4.91410
  -4.04436
  -3.84654
  -4.42582
  -3.29206
  -4.72867
  -3.72510
  -3.19367
  -3.98449
  -3.52364
  -2.63321
  -4.04526
Metropolis acceptance rate for gamma = 0.25799



MCMCoprobit iteration 130001 of 1050000 
beta = 
   3.84830
   0.23150
   4.15637
  -0.52437
   1.65827
   1.18326
   0.73214
  -1.26246
   1.75206
   1.67771
  -0.07326
   2.02093
  -0.95103
  -1.09310
   0.04389
   1.48113
  -0.44080
  -0.76593
  -0.01449
  -0.29326
   0.38754
   2.16262
   2.27745
   0.83587
  -2.86744
  -2.60547
  -3.25644
  -4.03735
  -2.33031
  -3.34708
  -3.99110
  -3.68905
  -4.47108
  -3.58660
  -3.50845
  -4.33562
  -4.40098
  -3.78509
  -4.21231
  -4.44947
  -2.88878
  -4.02189
  -3.57787
  -3.28285
  -4.08953
  -3.68187
  -2.31650
  -3.51976
Metropolis acceptance rate for gamma = 0.25817



MCMCoprobit iteration 140001 of 1050000 
beta = 
   3.79937
   0.47190
   3.78068
  -0.52843
   1.92238
   1.47302
   1.24497
  -0.87278
   1.45999
   1.59108
   0.25795
   2.08557
  -0.91216
  -0.66172
   0.47729
   1.58504
   1.00686
  -0.94098
   0.01840
   0.00584
   0.05597
   2.42526
   2.48785
   0.54713
  -2.96760
  -2.19994
  -3.48270
  -3.82780
  -2.18320
  -3.50613
  -3.34956
  -3.36295
  -4.69703
  -4.40473
  -3.60945
  -3.77977
  -4.35893
  -3.72654
  -3.56947
  -3.98904
  -2.57720
  -3.79727
  -3.59639
  -2.67404
  -3.90677
  -3.15384
  -2.39060
  -3.14464
Metropolis acceptance rate for gamma = 0.25866



MCMCoprobit iteration 150001 of 1050000 
beta = 
   3.98858
  -0.20625
   3.95736
  -0.31892
   1.41281
   1.80864
   0.71125
  -1.21755
   1.11354
   1.64618
  -0.57267
   2.06357
  -0.71321
  -0.98245
   0.04797
   1.99226
  -0.21324
  -1.05576
  -0.45395
  -0.09053
   0.11954
   2.43720
   2.68752
   0.57169
  -2.74645
  -2.93614
  -3.59499
  -3.66744
  -2.51089
  -3.18980
  -4.28849
  -3.76662
  -4.65394
  -3.73168
  -2.76364
  -4.12279
  -4.50061
  -3.98359
  -4.02437
  -4.44782
  -3.69994
  -3.68756
  -3.80927
  -3.41519
  -3.89449
  -3.77353
  -2.10491
  -3.57092
Metropolis acceptance rate for gamma = 0.25898



MCMCoprobit iteration 160001 of 1050000 
beta = 
   4.21121
  -0.32290
   3.40346
  -0.60025
   1.74914
   1.43408
   0.59182
  -1.32840
   0.91174
   0.80671
  -0.54338
   1.70346
  -1.10885
  -1.31794
   0.59673
   1.60906
  -0.15983
  -1.12209
  -0.46953
  -0.35620
   0.02537
   1.66655
   2.37946
   0.44921
  -3.00920
  -3.08076
  -3.68722
  -4.09728
  -2.77698
  -3.45197
  -4.69670
  -4.18403
  -4.86603
  -3.79533
  -3.23396
  -4.55002
  -5.00274
  -4.41134
  -4.26488
  -4.84369
  -3.50363
  -4.35789
  -3.68289
  -3.25932
  -4.15461
  -3.72381
  -2.59302
  -3.91890
Metropolis acceptance rate for gamma = 0.25871



MCMCoprobit iteration 170001 of 1050000 
beta = 
   4.28246
  -0.95658
   4.01120
  -0.60442
   1.54399
   1.22324
   0.57075
  -1.40721
   1.05036
   1.26598
  -0.50005
   2.08597
  -1.63004
  -1.44143
   0.22120
   1.43612
  -0.46688
  -1.07806
  -0.99609
  -0.58419
  -0.13782
   1.73896
   2.10703
   0.10269
  -3.86425
  -2.88895
  -3.98242
  -3.87565
  -2.84600
  -3.97951
  -4.73376
  -3.77849
  -5.06299
  -4.28446
  -3.85609
  -4.28127
  -5.18286
  -4.43187
  -3.61869
  -4.70432
  -2.95003
  -5.22532
  -3.89446
  -3.49542
  -4.51736
  -4.35770
  -2.81190
  -4.29350
Metropolis acceptance rate for gamma = 0.25853



MCMCoprobit iteration 180001 of 1050000 
beta = 
   3.72718
   0.81952
   4.04335
  -0.10599
   2.06790
   1.65718
   1.31269
  -0.54141
   1.61110
   1.41558
   0.15425
   2.28861
  -0.63481
  -0.97187
   0.52181
   2.04792
   0.60922
  -0.64084
  -0.19946
  -0.08914
   0.13428
   2.47947
   2.65839
   0.62439
  -2.88467
  -2.73128
  -3.43286
  -3.70995
  -2.26500
  -3.18764
  -3.18573
  -4.08565
  -4.62512
  -3.46222
  -3.47123
  -4.13497
  -4.45261
  -3.45702
  -3.50173
  -3.71561
  -3.31643
  -4.31313
  -3.04261
  -2.82844
  -3.45019
  -3.11502
  -2.35967
  -3.45154
Metropolis acceptance rate for gamma = 0.25864



MCMCoprobit iteration 190001 of 1050000 
beta = 
   3.76713
   0.69774
   3.93959
  -0.15715
   1.52303
   1.55647
   0.63578
  -0.83882
   1.13389
   1.90058
   0.05298
   1.79487
  -0.68023
  -0.82499
   0.20899
   1.50796
   0.44077
  -0.50624
  -0.31319
  -0.13498
   0.27302
   2.21576
   1.90420
   0.77470
  -3.16264
  -1.75927
  -3.12613
  -3.70133
  -1.90705
  -3.70853
  -3.56958
  -3.51719
  -4.58538
  -3.56448
  -3.55155
  -4.03847
  -4.09361
  -3.70356
  -3.49400
  -3.86299
  -3.15250
  -4.26319
  -3.24179
  -2.92454
  -3.98620
  -3.99205
  -2.32179
  -3.50574
Metropolis acceptance rate for gamma = 0.25855



MCMCoprobit iteration 200001 of 1050000 
beta = 
   3.40501
   0.80729
   4.59144
   0.14936
   2.04228
   2.01301
   1.22733
  -0.92199
   2.09989
   1.91020
   0.45685
   2.51887
   0.17757
  -0.80088
   0.65177
   2.20688
   0.37665
  -0.38026
   0.47339
   0.11255
   0.71095
   2.54283
   3.15492
   1.08086
  -2.51492
  -2.13336
  -3.06454
  -3.47964
  -1.93691
  -3.39277
  -2.97406
  -2.94282
  -4.14445
  -3.58906
  -3.15014
  -3.75312
  -3.76554
  -3.54771
  -3.41873
  -3.01896
  -2.50512
  -3.60850
  -2.80323
  -2.14959
  -3.44595
  -3.42205
  -1.96828
  -2.93274
Metropolis acceptance rate for gamma = 0.25853



MCMCoprobit iteration 210001 of 1050000 
beta = 
   3.53705
   0.75716
   3.74411
  -0.02964
   2.20284
   1.57205
   0.83515
  -0.69945
   1.52890
   1.32979
   0.09614
   2.00875
  -0.44963
  -0.84312
   0.53401
   1.94069
   0.24242
  -0.61684
  -0.52050
   0.12251
   0.37872
   2.44421
   2.62100
   0.41520
  -2.79212
  -2.86961
  -2.67995
  -3.22846
  -2.41300
  -3.11460
  -3.96180
  -3.59627
  -5.03827
  -3.79812
  -3.28626
  -3.55356
  -4.29569
  -3.49508
  -3.50957
  -4.40323
  -2.72765
  -3.63233
  -3.34626
  -2.73064
  -3.41807
  -3.08784
  -2.20448
  -2.93622
Metropolis acceptance rate for gamma = 0.25810



MCMCoprobit iteration 220001 of 1050000 
beta = 
   3.92197
   0.13376
   3.86814
  -0.42813
   1.66733
   1.33283
   1.02322
  -1.24588
   1.36672
   2.02543
  -0.22446
   1.77367
  -0.58713
  -1.17369
   0.80468
   1.26058
   0.48002
  -0.60075
  -0.60357
  -0.15499
   0.34166
   2.21666
   2.36534
   0.77317
  -3.02374
  -2.41127
  -3.27562
  -3.89594
  -2.35881
  -3.86248
  -4.36944
  -4.03929
  -4.69085
  -3.61304
  -3.21147
  -3.85089
  -4.79011
  -4.04944
  -3.95155
  -4.18623
  -3.19039
  -4.02475
  -3.36028
  -2.76863
  -4.25977
  -3.82651
  -2.64352
  -3.74121
Metropolis acceptance rate for gamma = 0.25841



MCMCoprobit iteration 230001 of 1050000 
beta = 
   4.13350
   0.07783
   4.42813
  -0.57786
   1.85425
   1.39137
   0.72354
  -1.17487
   1.21132
   1.65810
   0.11926
   2.45088
  -1.02684
  -0.99650
   0.09911
   1.33076
   0.12326
  -0.97495
  -0.69629
  -0.05981
   0.20262
   2.27852
   2.52519
   0.63860
  -3.35307
  -2.96591
  -3.66107
  -4.26151
  -2.79115
  -3.84923
  -4.00326
  -3.96939
  -4.91160
  -4.18434
  -3.70748
  -4.08944
  -4.79090
  -3.84182
  -4.23798
  -4.58821
  -3.55539
  -4.22040
  -3.52554
  -3.15699
  -4.55598
  -4.13486
  -2.79125
  -3.62085
Metropolis acceptance rate for gamma = 0.25881



MCMCoprobit iteration 240001 of 1050000 
beta = 
   3.89322
   0.40712
   3.67775
  -0.54199
   1.84978
   1.22083
   1.22594
  -1.20670
   1.62477
   1.55196
  -0.62593
   1.56682
  -0.55896
  -0.97994
   0.35964
   1.56065
   0.44562
  -1.03169
  -0.30173
  -0.15170
   0.21674
   2.33827
   2.23195
   0.53355
  -2.89274
  -2.79112
  -3.04550
  -3.92211
  -1.81902
  -2.97407
  -4.02999
  -3.54321
  -5.60817
  -3.26499
  -3.14162
  -4.06465
  -4.99018
  -3.99482
  -4.13377
  -4.20364
  -2.90790
  -3.86986
  -3.79623
  -3.30767
  -3.70713
  -3.57422
  -2.22443
  -3.34087
Metropolis acceptance rate for gamma = 0.25875



MCMCoprobit iteration 250001 of 1050000 
beta = 
   3.85072
   0.26817
   4.37323
  -0.86437
   1.50583
   1.45451
   0.46564
  -1.20116
   1.11968
   1.54023
  -0.54794
   1.95878
  -0.96306
  -1.27986
   0.16383
   1.37083
   0.68322
  -1.02316
  -0.53173
  -0.43647
  -0.07521
   2.20788
   2.41703
   0.59074
  -2.97987
  -2.78566
  -3.35419
  -3.67623
  -2.34279
  -3.08225
  -3.91380
  -4.12629
  -4.47459
  -4.25237
  -3.00153
  -4.21477
  -4.20560
  -4.08392
  -3.81553
  -4.25087
  -2.81106
  -4.17310
  -3.17154
  -3.54952
  -3.86045
  -4.08172
  -2.55322
  -4.02154
Metropolis acceptance rate for gamma = 0.25861



MCMCoprobit iteration 260001 of 1050000 
beta = 
   4.25190
  -0.12666
   3.26627
  -1.12330
   1.15428
   0.87016
   0.75966
  -1.90037
   0.85920
   1.07606
  -0.76417
   1.17805
  -1.31243
  -1.29379
  -0.09823
   1.41343
  -0.27202
  -1.40979
  -1.01379
  -0.45754
  -0.53614
   1.58688
   1.70100
  -0.16554
  -3.31554
  -3.54987
  -4.10124
  -4.56142
  -2.87342
  -3.95090
  -4.42353
  -4.25710
  -5.65429
  -4.23128
  -3.87334
  -4.89248
  -4.98172
  -4.30597
  -4.47541
  -5.04697
  -3.58135
  -4.55263
  -4.32164
  -3.24331
  -4.47137
  -4.44697
  -3.10115
  -3.67606
Metropolis acceptance rate for gamma = 0.25856



MCMCoprobit iteration 270001 of 1050000 
beta = 
   3.65062
   0.78077
   4.15094
  -0.12764
   2.15423
   1.57160
   0.62285
  -0.62404
   1.91162
   2.10881
   0.37740
   2.68497
  -0.37867
  -0.57203
   0.78665
   2.20025
   1.08589
  -0.64904
   0.23500
  -0.03428
   0.61193
   2.52277
   2.93633
   0.75472
  -2.55594
  -2.34422
  -2.98498
  -3.63597
  -2.64311
  -2.61701
  -3.52934
  -3.56515
  -5.19694
  -3.37092
  -2.90260
  -4.07396
  -4.57481
  -3.34792
  -3.63129
  -3.50933
  -2.57794
  -3.74465
  -2.90992
  -2.67722
  -3.57462
  -3.65995
  -2.33806
  -3.56477
Metropolis acceptance rate for gamma = 0.25861



MCMCoprobit iteration 280001 of 1050000 
beta = 
   4.33662
  -0.25607
   3.91544
  -0.81047
   1.11044
   1.05760
   0.29958
  -1.63389
   0.77477
   1.28963
  -0.75640
   1.46702
  -1.40274
  -1.55087
   0.01618
   1.16773
  -0.14025
  -1.30021
  -1.12181
  -0.46857
   0.12787
   2.07522
   2.11694
   0.08105
  -3.83860
  -3.18503
  -3.40103
  -4.42317
  -2.59910
  -3.76130
  -4.53221
  -4.28366
  -5.05690
  -4.09326
  -3.37767
  -4.14564
  -5.61671
  -4.65384
  -4.67564
  -4.53952
  -3.72550
  -4.84463
  -4.18067
  -3.79767
  -4.22577
  -4.05688
  -3.15422
  -3.77305
Metropolis acceptance rate for gamma = 0.25858



MCMCoprobit iteration 290001 of 1050000 
beta = 
   4.26591
  -0.05189
   3.24871
  -0.44077
   1.43298
   0.93011
   0.69204
  -1.74047
   1.17153
   1.26104
  -0.38007
   1.43075
  -1.18698
  -1.33826
   0.02624
   1.38147
  -0.07859
  -1.53739
  -0.88373
  -0.63708
   0.10563
   1.73469
   1.69948
   0.35635
  -3.46875
  -2.95857
  -3.40494
  -4.38634
  -2.14882
  -3.95858
  -4.64745
  -4.12035
  -5.17840
  -4.11120
  -3.55726
  -3.80550
  -5.12713
  -4.22708
  -4.12751
  -4.51777
  -2.89870
  -4.58767
  -3.52561
  -2.96815
  -4.80333
  -4.17874
  -2.84730
  -3.91381
Metropolis acceptance rate for gamma = 0.25864



MCMCoprobit iteration 300001 of 1050000 
beta = 
   4.09609
   0.29251
   3.55751
  -0.36667
   1.42804
   0.81786
   0.09422
  -1.25220
   0.86503
   1.04012
  -0.27740
   1.85806
  -0.95971
  -1.24667
  -0.00867
   1.33146
  -0.72272
  -1.51980
  -0.74316
  -0.36212
  -0.41206
   1.93328
   1.80542
   0.30414
  -3.44169
  -2.76108
  -3.69814
  -4.16684
  -2.78268
  -3.59397
  -4.05245
  -4.01826
  -5.18195
  -4.10015
  -3.05405
  -4.15990
  -4.87879
  -4.21236
  -4.02545
  -4.90017
  -2.89820
  -4.27037
  -3.16713
  -2.98565
  -4.26928
  -3.97606
  -2.52398
  -3.41120
Metropolis acceptance rate for gamma = 0.25861



MCMCoprobit iteration 310001 of 1050000 
beta = 
   3.91183
   0.08709
   4.07212
  -0.49819
   1.71542
   1.61727
   1.08612
  -1.29814
   1.51115
   1.45849
  -0.14445
   1.97291
  -0.60895
  -0.87172
   0.05213
   1.34931
   0.50412
  -0.85231
  -0.61764
  -0.17703
   0.33714
   1.83408
   2.29951
   0.69318
  -3.13493
  -2.77333
  -3.05872
  -3.83316
  -2.13844
  -3.58139
  -3.76561
  -3.77252
  -4.74847
  -3.71700
  -3.07698
  -3.91904
  -4.17837
  -3.75639
  -3.95878
  -4.18609
  -2.74912
  -4.18407
  -3.12844
  -2.96227
  -3.47931
  -3.47708
  -2.61245
  -3.48920
Metropolis acceptance rate for gamma = 0.25865



MCMCoprobit iteration 320001 of 1050000 
beta = 
   4.01658
   0.25677
   4.03110
  -0.54405
   2.02447
   1.60847
   0.53440
  -0.83957
   1.31849
   1.44627
  -0.35998
   2.10177
  -0.80195
  -0.81645
   0.75299
   1.64628
   0.89347
  -0.77971
  -0.23324
   0.22287
   0.72761
   2.26918
   2.42357
   0.87912
  -2.68171
  -2.42981
  -3.44221
  -3.44751
  -2.44083
  -3.78292
  -4.11386
  -3.78337
  -4.94020
  -3.76749
  -3.29218
  -4.28853
  -4.49983
  -4.18020
  -3.93974
  -4.62039
  -3.22589
  -4.59653
  -3.38902
  -2.67282
  -4.55189
  -4.12225
  -2.32138
  -3.65324
Metropolis acceptance rate for gamma = 0.25844



MCMCoprobit iteration 330001 of 1050000 
beta = 
   3.49326
   0.62894
   4.57926
  -0.10348
   1.76954
   1.44129
   0.80817
  -0.71717
   1.30809
   1.65915
   0.09584
   2.52201
  -0.30827
  -0.56746
   0.67702
   2.01512
   0.77318
  -0.88612
  -0.21526
   0.09219
   0.34688
   2.49017
   2.58151
   0.45723
  -2.26534
  -2.09334
  -2.72942
  -3.57932
  -1.85985
  -2.98538
  -3.67323
  -3.31696
  -4.20391
  -3.15254
  -3.32526
  -3.19425
  -3.80954
  -3.82420
  -3.73026
  -3.99380
  -2.81629
  -3.68969
  -2.91530
  -2.32208
  -3.31627
  -3.25453
  -1.81823
  -3.12305
Metropolis acceptance rate for gamma = 0.25828



MCMCoprobit iteration 340001 of 1050000 
beta = 
   4.08488
  -0.10428
   3.16702
  -0.62858
   1.32528
   1.21423
   0.63075
  -1.35702
   0.90405
   1.56184
  -0.46665
   1.69845
  -1.67223
  -1.20534
  -0.09267
   1.19598
  -0.14034
  -1.44135
  -0.70164
  -0.67206
   0.08514
   1.63017
   2.07539
   0.13418
  -3.15300
  -2.87517
  -3.64218
  -4.36713
  -2.61254
  -3.57134
  -3.94463
  -3.85298
  -5.48902
  -4.20143
  -3.59748
  -4.50281
  -4.72692
  -4.41751
  -4.20299
  -4.63588
  -3.51341
  -4.30675
  -3.42986
  -3.25336
  -4.20756
  -4.22276
  -2.46437
  -3.39822
Metropolis acceptance rate for gamma = 0.25840



MCMCoprobit iteration 350001 of 1050000 
beta = 
   4.65148
  -0.20423
   3.61136
  -0.87511
   0.83554
   0.87588
   0.23817
  -1.72528
   0.97177
   1.09148
  -0.35260
   1.37294
  -1.16415
  -1.31276
  -0.30819
   0.85977
   0.21073
  -1.21234
  -0.75115
  -0.87530
  -0.20180
   1.99440
   1.67317
  -0.03000
  -3.42245
  -2.95422
  -3.52563
  -4.60665
  -3.35812
  -3.74115
  -5.09729
  -4.79816
  -5.85565
  -4.64878
  -3.92574
  -4.33200
  -4.89896
  -4.55688
  -4.66420
  -4.84500
  -3.54427
  -5.07520
  -4.00573
  -3.13255
  -4.55851
  -4.37555
  -3.49281
  -4.50174
Metropolis acceptance rate for gamma = 0.25834



MCMCoprobit iteration 360001 of 1050000 
beta = 
   3.47366
   0.66006
   4.19845
  -0.06482
   2.19432
   1.67752
   1.30254
  -0.86218
   1.51762
   1.59737
   0.27552
   2.43759
  -0.34463
  -0.68578
  -0.07611
   1.66204
   0.73696
  -0.22723
   0.38505
  -0.01566
   0.74359
   2.36226
   2.67435
   1.18576
  -2.89318
  -2.28109
  -2.38752
  -3.45413
  -1.68981
  -3.00213
  -3.94522
  -3.92259
  -4.26766
  -3.62227
  -3.27733
  -4.24689
  -4.62862
  -3.83423
  -3.81470
  -3.91722
  -2.35934
  -3.20183
  -2.97247
  -2.11610
  -3.69774
  -3.16594
  -1.89549
  -3.12360
Metropolis acceptance rate for gamma = 0.25812



MCMCoprobit iteration 370001 of 1050000 
beta = 
   3.90533
   0.57090
   3.80232
  -0.26616
   2.32676
   1.49947
   1.04974
  -0.99473
   1.36349
   1.19393
  -0.11741
   2.10912
  -0.67676
  -1.04098
   0.41911
   1.49126
   0.40700
  -1.18131
  -0.83237
  -0.50667
   0.22554
   1.90578
   2.33569
   0.86312
  -3.36849
  -2.79353
  -3.63150
  -3.94877
  -2.54566
  -3.67078
  -3.89099
  -3.88442
  -4.58299
  -3.57291
  -3.41388
  -3.58966
  -5.12659
  -3.52891
  -4.00987
  -4.15313
  -3.24097
  -4.20316
  -3.66059
  -2.92263
  -3.96225
  -3.77927
  -2.69000
  -3.79998
Metropolis acceptance rate for gamma = 0.25828



MCMCoprobit iteration 380001 of 1050000 
beta = 
   3.63600
   0.18759
   4.73284
  -0.21951
   1.68172
   1.71541
   0.84158
  -1.15221
   1.36841
   1.50901
   0.00906
   1.76311
  -0.68277
  -0.46677
   0.44289
   1.70789
   0.55669
  -0.86556
  -0.45346
   0.15585
   0.49491
   2.29306
   2.71238
   0.61463
  -3.04373
  -2.41777
  -3.06383
  -3.86215
  -2.42944
  -3.47280
  -4.09447
  -3.35549
  -4.45715
  -3.86228
  -2.90057
  -3.90929
  -4.76790
  -3.85634
  -4.04513
  -4.43613
  -2.69731
  -3.35821
  -3.10111
  -2.68981
  -4.08241
  -3.88891
  -2.28214
  -3.43033
Metropolis acceptance rate for gamma = 0.25826



MCMCoprobit iteration 390001 of 1050000 
beta = 
   3.97863
   0.08048
   3.73579
  -0.43634
   1.39992
   1.58277
   0.77152
  -1.41766
   1.26035
   1.13159
  -0.43160
   1.75480
  -0.72693
  -1.45734
   0.29789
   1.55061
   0.54243
  -0.89569
  -0.47261
  -0.12967
   0.13188
   1.93082
   2.11333
   0.33252
  -3.23543
  -2.80276
  -2.83459
  -3.76374
  -2.31678
  -3.70036
  -4.07110
  -3.71332
  -5.46237
  -3.74669
  -3.84313
  -4.61011
  -5.17756
  -4.28321
  -4.20378
  -4.23510
  -3.31197
  -5.00673
  -3.37478
  -2.69150
  -4.57390
  -4.04295
  -2.59503
  -3.66011
Metropolis acceptance rate for gamma = 0.25821



MCMCoprobit iteration 400001 of 1050000 
beta = 
   3.76024
   0.17552
   3.28193
  -0.05254
   1.68457
   1.19110
   0.54446
  -0.79449
   1.60768
   1.52730
  -0.27640
   2.18579
  -0.81904
  -0.86944
   0.76991
   1.72933
   0.15229
  -0.77431
  -0.12594
   0.03137
   0.23279
   2.16609
   2.41508
   0.68456
  -2.44874
  -2.53552
  -2.79715
  -4.07592
  -2.21726
  -3.29767
  -3.81513
  -3.68030
  -4.93267
  -3.94721
  -3.25986
  -3.94737
  -4.51725
  -3.78812
  -3.97084
  -3.98248
  -2.81844
  -4.01242
  -3.25947
  -2.94535
  -3.70269
  -4.02856
  -2.34266
  -3.26148
Metropolis acceptance rate for gamma = 0.25813



MCMCoprobit iteration 410001 of 1050000 
beta = 
   4.19197
  -0.43613
   3.24218
  -0.81669
   0.89543
   0.71968
   0.84363
  -1.26217
   1.18968
   1.04135
  -0.57245
   1.72858
  -0.89121
  -1.17312
  -0.01171
   1.28971
   0.43885
  -1.29210
  -0.46797
  -0.24706
  -0.06547
   1.66623
   1.90535
   0.43422
  -3.35743
  -2.44754
  -3.44373
  -3.96880
  -2.62397
  -3.92203
  -4.45868
  -4.10369
  -5.55320
  -4.06130
  -3.34468
  -4.60948
  -4.95968
  -4.21296
  -4.25992
  -3.91473
  -3.41943
  -3.98520
  -3.91950
  -3.03214
  -4.19085
  -4.48526
  -2.73498
  -4.14567
Metropolis acceptance rate for gamma = 0.25826



MCMCoprobit iteration 420001 of 1050000 
beta = 
   3.72370
   0.99743
   4.55488
  -0.13886
   1.67939
   2.01997
   0.41153
  -1.05095
   1.83096
   2.06131
   0.13481
   2.16431
  -0.60306
  -0.72641
   0.42553
   1.88011
   0.68436
  -0.59538
   0.05678
   0.21040
   0.31345
   2.76481
   2.56150
   0.81510
  -2.83211
  -2.84822
  -3.36846
  -3.67910
  -2.06098
  -3.24081
  -3.66468
  -3.62774
  -5.17992
  -3.63761
  -3.05456
  -3.60642
  -4.80236
  -3.83886
  -3.69406
  -4.13092
  -3.40576
  -3.40432
  -3.05586
  -2.85198
  -3.79786
  -3.29868
  -1.96895
  -3.34569
Metropolis acceptance rate for gamma = 0.25830



MCMCoprobit iteration 430001 of 1050000 
beta = 
   4.46408
  -0.25245
   3.80846
  -0.75855
   1.91472
   1.12151
   0.41431
  -1.31258
   1.12772
   1.27265
  -0.68497
   2.15361
  -1.44800
  -1.79744
   0.44429
   1.67118
  -0.44417
  -1.32775
  -0.63101
  -0.46296
  -0.12374
   1.53252
   2.02157
   0.29820
  -3.63401
  -3.28797
  -4.31196
  -4.71989
  -2.76936
  -4.20794
  -4.62130
  -4.53011
  -5.71103
  -4.17438
  -3.75950
  -4.65669
  -5.07683
  -4.57620
  -4.31445
  -5.11134
  -3.33953
  -4.32349
  -3.91329
  -3.61711
  -4.85991
  -3.73138
  -2.48347
  -3.81368
Metropolis acceptance rate for gamma = 0.25805



MCMCoprobit iteration 440001 of 1050000 
beta = 
   3.56444
   0.53017
   4.31868
  -0.00788
   2.15530
   1.70625
   1.12919
  -0.76455
   1.92888
   2.27111
   0.38548
   1.94975
  -0.92562
  -0.53509
   0.39293
   1.69651
   0.80968
  -0.53052
   0.01244
   0.36476
   0.74718
   2.15440
   2.51792
   0.86616
  -2.70890
  -1.88134
  -3.17195
  -3.15215
  -2.34353
  -3.15950
  -3.41100
  -3.59128
  -4.67675
  -3.28468
  -3.16422
  -4.04991
  -4.17487
  -3.56065
  -3.54795
  -4.12464
  -2.80170
  -3.89087
  -3.13860
  -2.48517
  -3.74345
  -3.71373
  -1.93003
  -3.12746
Metropolis acceptance rate for gamma = 0.25796



MCMCoprobit iteration 450001 of 1050000 
beta = 
   3.78507
   0.93025
   4.60388
  -0.00393
   1.68158
   1.59379
   0.74125
  -1.30062
   1.52070
   1.69590
  -0.12547
   1.94001
  -0.83335
  -0.94207
   0.82711
   1.76810
   0.15905
  -0.62539
  -0.72141
   0.04574
   0.33660
   2.37789
   2.74773
   0.94033
  -3.05616
  -2.52752
  -3.19763
  -3.76184
  -2.34841
  -3.92559
  -4.21719
  -2.97523
  -4.63842
  -3.98989
  -3.24373
  -3.67040
  -4.67035
  -3.67947
  -3.33964
  -4.26648
  -2.51196
  -4.20526
  -3.25015
  -2.82647
  -3.94248
  -3.76418
  -2.07795
  -3.86871
Metropolis acceptance rate for gamma = 0.25802



MCMCoprobit iteration 460001 of 1050000 
beta = 
   4.10030
   0.11063
   3.86097
  -0.59080
   1.47778
   1.32618
   0.21687
  -0.97690
   1.03364
   1.32692
  -0.29253
   1.55638
  -1.05495
  -1.41247
   0.84397
   1.14816
   0.22261
  -1.19398
  -0.90993
  -0.49513
   0.03365
   1.91722
   2.48750
   0.56201
  -2.87311
  -2.78323
  -3.79830
  -4.17568
  -2.43984
  -3.37712
  -4.37858
  -4.49756
  -5.28481
  -4.28696
  -3.16611
  -3.73055
  -5.29922
  -4.27419
  -3.97049
  -3.87435
  -3.49674
  -4.15125
  -2.91154
  -2.81376
  -4.25674
  -3.93260
  -2.49954
  -3.66266
Metropolis acceptance rate for gamma = 0.25806



MCMCoprobit iteration 470001 of 1050000 
beta = 
   3.95719
   0.27611
   3.91726
  -0.51676
   1.90395
   1.56198
   0.17740
  -1.24013
   1.08432
   1.16674
  -0.33326
   1.76681
  -1.15582
  -1.53694
   0.58871
   1.38790
   0.38997
  -1.41129
  -0.39005
  -0.24064
  -0.10759
   1.68494
   2.38624
   0.57481
  -3.41055
  -2.67155
  -3.54052
  -3.63489
  -2.27294
  -3.03608
  -4.09099
  -3.83631
  -4.96784
  -3.83411
  -3.03631
  -4.36994
  -4.73384
  -4.04461
  -4.05093
  -3.83702
  -3.53259
  -4.06839
  -3.88379
  -2.91522
  -4.05688
  -3.61000
  -2.49338
  -3.57014
Metropolis acceptance rate for gamma = 0.25805



MCMCoprobit iteration 480001 of 1050000 
beta = 
   3.39197
   0.75655
   4.37423
  -0.18720
   1.83460
   1.34324
   0.87099
  -0.48301
   1.84317
   2.05140
   0.02060
   2.41998
  -0.71938
  -0.75077
   0.72780
   1.82274
   0.53144
  -1.07727
   0.42319
   0.12213
   0.62906
   2.79360
   2.82999
   1.27561
  -2.69041
  -2.03758
  -2.60925
  -3.04902
  -1.96323
  -3.12314
  -3.61591
  -3.80103
  -4.70393
  -3.12392
  -2.73119
  -4.15244
  -4.45962
  -3.17514
  -3.55467
  -3.54774
  -2.59353
  -4.00816
  -2.79306
  -2.16187
  -3.39949
  -3.49952
  -1.37235
  -3.00337
Metropolis acceptance rate for gamma = 0.25795



MCMCoprobit iteration 490001 of 1050000 
beta = 
   4.08527
   0.02420
   3.84365
  -0.91589
   1.76956
   0.97801
   0.68416
  -1.65295
   1.11726
   1.07372
  -0.67640
   1.96058
  -1.12997
  -1.18498
   0.15974
   1.37589
  -0.23564
  -1.36589
  -0.87140
  -0.21344
   0.32314
   2.27368
   2.35691
   0.16353
  -3.44145
  -3.24292
  -3.33209
  -3.94227
  -2.45641
  -3.61742
  -4.02170
  -3.76928
  -5.36007
  -3.98029
  -3.47361
  -4.28900
  -5.14656
  -4.34436
  -4.03024
  -4.03235
  -3.34769
  -4.26219
  -3.46269
  -3.11777
  -4.35062
  -3.82112
  -2.67448
  -3.76611
Metropolis acceptance rate for gamma = 0.25795



MCMCoprobit iteration 500001 of 1050000 
beta = 
   3.81376
  -0.00056
   4.50878
  -0.59351
   1.92150
   1.54544
   1.65030
  -0.75567
   1.25340
   1.56138
  -0.23860
   1.91548
  -0.95894
  -0.80885
   0.70223
   1.93784
   0.72157
  -1.37135
  -0.35964
   0.16482
   0.34662
   2.56743
   2.40159
   1.00848
  -2.91171
  -1.61857
  -3.85001
  -4.10004
  -1.90418
  -3.73584
  -3.97941
  -3.03806
  -4.49111
  -3.50602
  -3.33840
  -4.11692
  -4.57378
  -3.28228
  -3.80950
  -3.88609
  -2.88776
  -4.08937
  -2.81020
  -2.97489
  -4.16164
  -4.09563
  -2.26339
  -3.35322
Metropolis acceptance rate for gamma = 0.25781



MCMCoprobit iteration 510001 of 1050000 
beta = 
   3.56250
   0.44814
   4.09514
  -0.12511
   1.58912
   1.26540
   0.87957
  -0.64011
   1.43690
   2.07353
  -0.09641
   2.24450
  -0.16504
  -0.23248
   1.20961
   1.56039
   0.57015
  -0.82722
   0.08492
  -0.02932
   0.60406
   2.29898
   2.50141
   1.12112
  -2.91502
  -1.66797
  -2.86941
  -3.51537
  -2.72982
  -2.94386
  -3.55999
  -4.07007
  -4.06820
  -3.69312
  -3.14094
  -3.76859
  -4.77267
  -4.00250
  -3.42789
  -3.82444
  -2.41847
  -3.60001
  -3.19523
  -2.39297
  -3.68722
  -3.52052
  -1.98760
  -3.16788
Metropolis acceptance rate for gamma = 0.25774



MCMCoprobit iteration 520001 of 1050000 
beta = 
   3.92403
   0.02558
   3.88431
  -0.34550
   1.12997
   0.52262
   0.53432
  -1.53178
   1.26017
   1.77651
  -0.25990
   1.99795
  -1.39986
  -1.30393
   0.00841
   1.39900
   0.19773
  -1.07308
  -0.59328
  -0.27668
   0.04149
   1.31663
   2.40072
   0.30409
  -2.98337
  -2.83281
  -3.37246
  -3.97489
  -2.24149
  -3.85422
  -3.81252
  -3.79447
  -5.03932
  -3.93581
  -3.24688
  -4.35877
  -4.29409
  -4.06486
  -3.91246
  -4.15208
  -3.21484
  -4.41003
  -3.75353
  -3.05712
  -3.48944
  -3.53754
  -2.09389
  -3.84891
Metropolis acceptance rate for gamma = 0.25768



MCMCoprobit iteration 530001 of 1050000 
beta = 
   3.88241
   0.08828
   4.30625
  -0.62989
   1.31352
   1.45780
   0.48044
  -1.13914
   1.10235
   1.43706
  -0.02650
   2.19970
  -0.57144
  -1.38118
   0.50477
   1.36649
   0.06292
  -1.43403
  -0.72840
  -0.36955
   0.35595
   2.03785
   2.34876
   0.60161
  -2.57476
  -2.75813
  -3.25629
  -3.92531
  -2.38599
  -3.73951
  -4.23427
  -3.54680
  -4.50394
  -3.80912
  -3.17538
  -4.32524
  -4.53384
  -3.23486
  -4.03510
  -3.96575
  -3.17114
  -4.01228
  -3.00208
  -3.24337
  -4.13005
  -3.17646
  -2.49000
  -3.55013
Metropolis acceptance rate for gamma = 0.25779



MCMCoprobit iteration 540001 of 1050000 
beta = 
   3.84625
   0.60855
   4.23932
  -0.43489
   1.40314
   1.16793
   0.70770
  -1.17039
   1.40698
   1.48262
  -0.29078
   2.42343
  -1.37536
  -1.09484
   0.76040
   1.77352
   0.21040
  -0.77391
  -0.35773
  -0.13125
   0.13375
   2.00036
   2.72552
   0.92256
  -3.11466
  -2.38091
  -3.62292
  -3.77876
  -2.14478
  -3.43308
  -3.94544
  -3.58229
  -5.42292
  -3.88130
  -2.90910
  -4.02808
  -4.70542
  -3.91544
  -3.93054
  -4.44600
  -3.17108
  -4.21196
  -3.56728
  -2.87735
  -4.35236
  -3.42960
  -2.23527
  -3.59950
Metropolis acceptance rate for gamma = 0.25772



MCMCoprobit iteration 550001 of 1050000 
beta = 
   3.66855
   0.34948
   4.19635
  -0.22677
   1.17548
   1.51221
   0.95810
  -0.91624
   1.36736
   1.72958
  -0.36489
   2.09542
  -1.00196
  -0.55399
   0.16234
   1.33661
   0.29762
  -0.69364
  -0.74914
  -0.43861
   0.67717
   2.30413
   2.34008
   0.77934
  -3.10991
  -2.39849
  -3.11786
  -3.71726
  -2.32830
  -3.07469
  -3.60700
  -3.80121
  -5.12032
  -3.07135
  -2.91281
  -4.18427
  -3.92643
  -3.73534
  -3.83378
  -3.97757
  -3.12480
  -3.38497
  -3.08143
  -2.81908
  -3.49230
  -3.70870
  -1.73900
  -3.55209
Metropolis acceptance rate for gamma = 0.25775



MCMCoprobit iteration 560001 of 1050000 
beta = 
   3.29761
   1.19643
   4.08101
   0.07835
   2.06551
   1.48406
   1.09795
  -0.12341
   1.98112
   1.53505
  -0.01074
   2.22145
  -0.42895
  -0.70336
   0.56839
   2.10709
   0.36741
  -0.36071
  -0.12669
   0.38949
   0.47173
   2.53636
   2.41239
   1.28915
  -2.47372
  -2.08541
  -3.37367
  -3.22937
  -2.01254
  -3.30237
  -3.42447
  -3.30004
  -4.87548
  -2.65515
  -2.61882
  -3.41187
  -3.66706
  -3.16628
  -3.04197
  -3.80933
  -2.91324
  -3.30449
  -2.55710
  -2.22090
  -3.42612
  -2.79796
  -2.08120
  -2.52199
Metropolis acceptance rate for gamma = 0.25765



MCMCoprobit iteration 570001 of 1050000 
beta = 
   3.60051
   0.98206
   4.07382
   0.12781
   2.00193
   1.94137
   0.87776
  -1.11006
   1.77339
   1.78230
   0.66295
   2.46473
  -0.71949
  -0.54882
   0.84142
   1.75505
   0.71099
  -0.75555
   0.03021
  -0.07342
   0.56814
   2.46832
   3.03186
   1.09041
  -2.72116
  -2.63173
  -2.90002
  -3.26198
  -2.06498
  -3.30353
  -3.72218
  -3.64687
  -5.19374
  -3.80175
  -2.81995
  -4.18381
  -4.18556
  -3.32725
  -3.34906
  -3.84838
  -2.43490
  -4.01466
  -3.04050
  -2.96028
  -3.88161
  -3.66157
  -2.05550
  -3.41935
Metropolis acceptance rate for gamma = 0.25765



MCMCoprobit iteration 580001 of 1050000 
beta = 
   4.14070
  -0.35953
   3.54711
  -0.86218
   1.18172
   1.02990
   0.54012
  -1.53101
   0.75412
   1.22893
  -0.74914
   1.80305
  -1.19562
  -1.79869
  -0.00331
   1.50986
   0.03160
  -1.57527
  -0.62310
  -0.83041
  -0.22406
   1.55085
   2.06864
   0.41323
  -3.32331
  -2.96458
  -3.27854
  -3.61839
  -3.30527
  -3.91721
  -4.69605
  -4.02894
  -5.48248
  -4.53028
  -3.81097
  -4.04857
  -5.68024
  -4.47628
  -4.10736
  -4.33615
  -2.70306
  -4.78711
  -3.95587
  -3.34319
  -4.32525
  -3.87818
  -3.03322
  -3.43798
Metropolis acceptance rate for gamma = 0.25765



MCMCoprobit iteration 590001 of 1050000 
beta = 
   3.64050
   0.71590
   3.81543
  -0.22983
   1.75208
   1.42690
   0.79970
  -0.64279
   1.48465
   0.90680
   0.12536
   1.41127
  -0.58379
  -0.80579
   0.76405
   1.87929
   0.72836
  -0.83322
  -0.33165
  -0.23036
   0.83480
   2.43380
   2.71135
   0.40392
  -2.97545
  -2.40680
  -2.95868
  -3.51570
  -2.11196
  -3.48746
  -3.69209
  -3.77864
  -4.39670
  -3.50968
  -2.91748
  -3.74304
  -4.54242
  -3.83467
  -3.36512
  -3.52200
  -2.98448
  -4.05744
  -3.35740
  -2.97097
  -3.76873
  -3.79033
  -2.29821
  -3.54528
Metropolis acceptance rate for gamma = 0.25745



MCMCoprobit iteration 600001 of 1050000 
beta = 
   4.00010
   0.22453
   4.31166
  -1.04609
   2.06002
   1.25207
   0.91934
  -1.14576
   1.63616
   1.58530
  -0.09153
   2.34184
  -0.88182
  -1.18229
   0.14545
   1.49567
   0.14514
  -1.05912
  -0.61086
  -0.22644
   0.15806
   1.91517
   2.11819
   0.27410
  -3.16026
  -2.81796
  -3.53811
  -3.43340
  -2.53089
  -3.83994
  -4.05064
  -3.80276
  -5.33721
  -3.87448
  -3.26719
  -4.42849
  -4.42019
  -3.88243
  -4.17201
  -4.27622
  -3.34551
  -4.22074
  -3.16847
  -3.32027
  -3.67915
  -3.68739
  -2.78754
  -3.51806
Metropolis acceptance rate for gamma = 0.25759



MCMCoprobit iteration 610001 of 1050000 
beta = 
   4.36026
  -0.21927
   3.39972
  -1.35747
   1.40181
   0.58362
  -0.06859
  -1.64380
   0.75853
   0.87898
  -0.80814
   1.70820
  -0.84209
  -1.61085
  -0.34887
   0.98287
  -0.13353
  -1.54835
  -0.82468
  -0.81066
  -0.23107
   1.66917
   1.64330
   0.25510
  -3.79371
  -2.93958
  -3.98550
  -3.96557
  -2.97575
  -3.72719
  -4.28675
  -4.07438
  -5.38603
  -4.43561
  -3.80695
  -4.18519
  -5.49802
  -4.34564
  -4.00749
  -4.18422
  -3.95280
  -4.13442
  -3.82861
  -3.25748
  -4.37001
  -4.45965
  -2.91217
  -3.95959
Metropolis acceptance rate for gamma = 0.25762



MCMCoprobit iteration 620001 of 1050000 
beta = 
   4.12687
   0.17066
   3.68680
  -0.66987
   1.15677
   1.25760
   0.50942
  -1.36046
   1.03532
   1.29141
   0.04052
   1.88076
  -1.57795
  -0.95433
   1.00130
   1.56343
   0.31155
  -1.23434
  -0.59641
  -0.23439
  -0.01027
   2.03682
   2.60018
   0.44859
  -3.28426
  -3.09227
  -3.84701
  -4.36483
  -2.65777
  -3.40167
  -4.08866
  -4.35198
  -5.62782
  -3.73049
  -3.67036
  -3.88373
  -4.96942
  -4.01740
  -4.33767
  -4.06792
  -2.81629
  -4.49841
  -3.30633
  -3.34730
  -3.67668
  -3.61814
  -2.60443
  -4.06725
Metropolis acceptance rate for gamma = 0.25760



MCMCoprobit iteration 630001 of 1050000 
beta = 
   3.57932
   0.38208
   3.87839
  -0.36840
   1.90683
   1.40350
   0.72571
  -1.11723
   1.53295
   1.72177
  -0.02356
   2.55187
  -0.78957
  -0.63905
   0.07353
   1.53657
   0.35198
  -1.03072
  -0.38260
  -0.23005
   0.57272
   1.94864
   2.56757
   0.62593
  -2.66235
  -2.30297
  -3.17582
  -3.48440
  -2.01511
  -3.26017
  -3.82641
  -3.50765
  -4.75533
  -3.55971
  -2.60651
  -3.57505
  -4.16017
  -3.55133
  -3.40910
  -3.78149
  -2.86499
  -3.99899
  -3.70010
  -2.66626
  -3.82022
  -3.66143
  -2.30037
  -3.05231
Metropolis acceptance rate for gamma = 0.25763



MCMCoprobit iteration 640001 of 1050000 
beta = 
   3.71404
   0.04821
   4.53390
  -0.76870
   1.85630
   1.62083
   0.50593
  -0.99656
   1.69209
   1.47628
  -0.31161
   1.81902
  -0.74683
  -0.81485
   0.42611
   1.91184
   0.27191
  -0.77527
  -0.37254
  -0.21795
  -0.08192
   2.14483
   2.42686
   0.88818
  -2.76882
  -2.52856
  -3.05629
  -3.48241
  -2.21853
  -2.96667
  -4.06839
  -3.83932
  -4.64819
  -3.31937
  -3.38258
  -3.96716
  -4.27689
  -3.83929
  -3.89110
  -4.11705
  -2.91760
  -4.21065
  -2.83861
  -2.54031
  -4.05298
  -3.82949
  -2.38426
  -3.43809
Metropolis acceptance rate for gamma = 0.25772



MCMCoprobit iteration 650001 of 1050000 
beta = 
   3.94731
   0.67484
   4.22865
  -0.57039
   1.32338
   1.33788
   0.89178
  -0.75212
   1.38683
   1.53210
   0.01010
   1.67551
  -0.88876
  -1.19446
  -0.09935
   1.74699
   0.02877
  -0.86111
  -0.33390
  -0.25597
   0.17680
   2.40116
   2.53928
   0.96637
  -2.96064
  -2.58523
  -3.44063
  -3.94617
  -3.10508
  -3.49067
  -4.06127
  -4.07986
  -4.27518
  -3.82471
  -2.82268
  -4.78426
  -3.94932
  -3.79535
  -4.00820
  -3.92106
  -3.13646
  -4.20325
  -3.53231
  -3.64795
  -4.81077
  -3.86360
  -3.05334
  -3.51986
Metropolis acceptance rate for gamma = 0.25771



MCMCoprobit iteration 660001 of 1050000 
beta = 
   4.16428
  -0.07442
   3.88896
  -0.64030
   1.61657
   1.57473
   0.61565
  -1.27241
   1.11943
   1.66948
  -0.47170
   1.83955
  -1.18295
  -1.17155
   0.09483
   1.14282
  -0.15983
  -1.16091
  -0.86824
  -0.62644
  -0.27350
   1.69221
   2.38054
   0.40784
  -3.71797
  -2.51819
  -3.83771
  -4.15593
  -2.47918
  -3.57278
  -4.29599
  -3.57942
  -4.56141
  -4.12963
  -3.31901
  -4.58069
  -5.34009
  -4.11593
  -3.71121
  -4.11284
  -3.52532
  -4.49517
  -3.53159
  -3.20132
  -4.93397
  -3.93754
  -3.01057
  -3.97749
Metropolis acceptance rate for gamma = 0.25770



MCMCoprobit iteration 670001 of 1050000 
beta = 
   3.85172
  -0.10028
   3.83197
  -0.48837
   1.23919
   1.23145
   0.37510
  -1.28209
   0.98888
   1.49484
  -0.38627
   1.37182
  -0.81186
  -1.14031
   0.14079
   1.74617
  -0.03217
  -0.71806
  -0.34276
  -0.32205
   0.01860
   2.19876
   2.21387
   0.47944
  -3.23442
  -2.34089
  -3.69682
  -3.71309
  -2.53471
  -3.43002
  -4.05335
  -3.89370
  -4.40823
  -3.44238
  -3.00489
  -3.81025
  -5.08168
  -3.91089
  -3.54993
  -3.99352
  -2.67460
  -3.99709
  -3.48760
  -2.93767
  -4.44287
  -3.61056
  -2.29760
  -3.37874
Metropolis acceptance rate for gamma = 0.25780



MCMCoprobit iteration 680001 of 1050000 
beta = 
   4.34075
  -0.10840
   3.57742
  -1.00752
   1.71058
   0.52177
   0.48023
  -1.71995
   1.14984
   1.46104
  -0.08775
   1.51768
  -1.15567
  -1.27503
  -0.39198
   1.21760
   0.04561
  -1.37504
  -0.92106
   0.12804
  -0.04560
   1.86847
   2.52698
   0.45718
  -3.61573
  -2.89608
  -3.75911
  -4.44522
  -2.91211
  -4.08398
  -4.49323
  -4.15334
  -5.54774
  -4.42471
  -3.75347
  -4.48130
  -5.13323
  -4.20008
  -4.12217
  -4.51715
  -3.90571
  -4.45197
  -4.07944
  -3.01735
  -4.26861
  -4.15743
  -2.68838
  -4.16729
Metropolis acceptance rate for gamma = 0.25756



MCMCoprobit iteration 690001 of 1050000 
beta = 
   4.38338
  -0.28275
   3.94718
  -0.49869
   1.34360
   1.19407
   0.08769
  -1.55555
   1.56761
   1.59528
  -0.53019
   1.40042
  -1.28918
  -1.07678
  -0.43508
   1.41467
   0.18592
  -1.08083
  -0.84278
  -0.40904
  -0.16156
   1.66955
   2.62570
   0.30359
  -3.46254
  -3.42107
  -3.70812
  -4.31765
  -3.12335
  -4.32900
  -4.54183
  -4.03441
  -5.08927
  -4.24288
  -3.85333
  -4.21533
  -4.85662
  -4.64502
  -5.01878
  -4.21293
  -3.77712
  -4.43919
  -3.84498
  -3.48641
  -4.29088
  -3.94067
  -2.37412
  -4.30051
Metropolis acceptance rate for gamma = 0.25760



MCMCoprobit iteration 700001 of 1050000 
beta = 
   3.80133
   0.88318
   4.13748
  -0.21107
   1.93229
   2.01836
   0.74178
  -0.72157
   1.46105
   1.89658
   0.20468
   2.00698
  -0.92924
  -0.54713
   0.43055
   1.80336
   1.03070
  -0.44849
   0.00391
  -0.16243
   0.41484
   2.51626
   2.95083
   0.34381
  -2.76755
  -2.72696
  -3.22849
  -3.32773
  -2.42987
  -3.17759
  -3.93016
  -4.02432
  -4.37583
  -3.64017
  -2.68867
  -4.40304
  -5.22233
  -3.46172
  -3.81611
  -3.92798
  -3.02111
  -4.08549
  -3.29347
  -3.12698
  -3.90187
  -3.80409
  -2.65278
  -3.57986
Metropolis acceptance rate for gamma = 0.25759



MCMCoprobit iteration 710001 of 1050000 
beta = 
   3.81241
   0.22184
   3.43160
  -0.47642
   1.88069
   1.02814
   0.93325
  -1.32939
   1.18148
   1.33371
  -0.18465
   1.76383
  -0.85430
  -0.99437
   0.63859
   1.34231
  -0.55554
  -1.05655
  -0.40448
  -0.13780
   0.18171
   2.05635
   2.29523
   0.64906
  -3.43054
  -2.47653
  -3.04144
  -4.19434
  -1.97248
  -3.37727
  -3.50621
  -3.91596
  -4.21808
  -3.71932
  -3.33363
  -3.44326
  -4.92151
  -4.29793
  -3.79054
  -4.39060
  -3.16351
  -3.91694
  -3.40547
  -2.72700
  -3.35853
  -3.53441
  -2.03968
  -3.54315
Metropolis acceptance rate for gamma = 0.25754



MCMCoprobit iteration 720001 of 1050000 
beta = 
   3.76765
   0.28197
   4.88375
  -0.12498
   1.94211
   1.76052
   0.96024
  -0.86884
   2.02393
   1.51841
   0.24669
   2.04729
  -1.07515
  -0.82444
   0.86083
   1.58827
   0.37007
  -0.55306
  -0.44897
  -0.03548
   0.71162
   2.74669
   3.09591
   1.00616
  -3.01758
  -2.08365
  -3.24049
  -3.91350
  -2.23118
  -3.62417
  -3.54727
  -3.70498
  -4.68659
  -3.34180
  -3.19813
  -4.43154
  -4.73077
  -3.73320
  -4.13969
  -4.32160
  -2.75275
  -3.71811
  -3.04998
  -3.05523
  -3.93612
  -3.04426
  -2.39114
  -3.19563
Metropolis acceptance rate for gamma = 0.25755



MCMCoprobit iteration 730001 of 1050000 
beta = 
   3.56593
   0.59878
   4.01385
  -0.47072
   2.08037
   1.99186
   1.23812
  -1.13679
   1.71181
   1.37828
   0.03569
   2.50777
  -0.77181
  -1.21769
   0.40094
   1.90027
   0.72928
  -0.45986
  -0.17616
  -0.61086
   0.54986
   2.00825
   2.53386
   0.54367
  -3.48540
  -2.40701
  -3.17299
  -3.76600
  -2.01563
  -3.02303
  -3.75976
  -3.79727
  -4.46897
  -3.72739
  -3.00142
  -3.92451
  -4.83747
  -3.53225
  -3.57593
  -3.50466
  -2.85264
  -3.69069
  -3.14561
  -2.60195
  -3.15736
  -3.34666
  -2.25300
  -3.15927
Metropolis acceptance rate for gamma = 0.25756



MCMCoprobit iteration 740001 of 1050000 
beta = 
   3.66008
   0.71160
   3.62836
  -0.50844
   1.63944
   1.25036
   1.29501
  -0.76273
   1.50567
   1.68730
  -0.50810
   2.29571
  -0.81651
  -0.82421
   0.31303
   1.90869
   0.07878
  -0.71108
  -0.23278
  -0.31152
   0.05720
   2.37927
   2.37857
   0.49575
  -2.84539
  -1.61515
  -3.06757
  -3.72717
  -1.85969
  -3.22417
  -3.83539
  -3.25579
  -4.49990
  -3.53802
  -3.26998
  -4.07360
  -4.27138
  -3.70292
  -3.55366
  -3.65189
  -2.57192
  -3.89287
  -3.15996
  -2.57311
  -4.01112
  -3.34581
  -1.74798
  -3.31670
Metropolis acceptance rate for gamma = 0.25765



MCMCoprobit iteration 750001 of 1050000 
beta = 
   3.31705
   0.58968
   4.68764
  -0.19975
   1.89123
   1.86956
   1.37204
  -0.53816
   1.54252
   1.83614
   0.09260
   2.58165
  -0.38745
  -0.43461
   1.02514
   2.09687
   0.78939
  -0.59493
  -0.02614
   0.01910
   0.46138
   2.44547
   2.73550
   0.81496
  -2.83146
  -2.38795
  -2.80150
  -3.14363
  -1.79012
  -2.93340
  -3.07842
  -3.13581
  -4.34977
  -3.27113
  -2.42877
  -3.14528
  -4.14027
  -3.43710
  -3.35569
  -3.63372
  -2.04622
  -3.35057
  -2.84374
  -2.51088
  -3.52190
  -2.62481
  -1.81757
  -2.72628
Metropolis acceptance rate for gamma = 0.25758



MCMCoprobit iteration 760001 of 1050000 
beta = 
   4.17099
   0.01392
   3.88284
  -0.81626
   1.49886
   0.96772
   0.44564
  -1.53739
   1.03898
   1.61969
  -0.07525
   1.93845
  -1.50496
  -1.21608
  -0.09997
   1.66150
   0.26048
  -1.35239
  -0.61349
  -0.60766
   0.29879
   2.27890
   2.87388
   0.23485
  -3.56250
  -2.53455
  -3.57241
  -4.27948
  -2.75034
  -3.90441
  -3.98703
  -3.93898
  -5.76053
  -4.31188
  -3.74652
  -4.31811
  -5.14249
  -4.23554
  -4.05911
  -4.12732
  -3.57936
  -4.52361
  -3.58499
  -3.00304
  -4.00746
  -4.00514
  -2.50298
  -3.63163
Metropolis acceptance rate for gamma = 0.25766



MCMCoprobit iteration 770001 of 1050000 
beta = 
   3.82976
   0.64586
   4.21845
  -0.44352
   1.48895
   1.39851
   0.73208
  -1.18988
   1.30842
   1.61599
  -0.38412
   2.25679
  -0.66411
  -0.95666
   0.15284
   1.14306
   0.43904
  -0.95830
  -0.21029
  -0.28527
   0.21914
   2.08088
   2.21092
   0.26949
  -3.19072
  -2.56661
  -3.28667
  -3.70859
  -2.42969
  -3.45936
  -3.41643
  -4.12142
  -4.89332
  -3.22918
  -3.15427
  -3.63898
  -4.60834
  -3.53923
  -3.52565
  -4.13296
  -2.74850
  -3.75057
  -3.32929
  -2.74890
  -4.05245
  -3.92403
  -2.07368
  -3.42634
Metropolis acceptance rate for gamma = 0.25767



MCMCoprobit iteration 780001 of 1050000 
beta = 
   4.10073
   0.59555
   4.03239
  -0.70536
   2.13067
   1.53572
   0.70852
  -1.30207
   1.58779
   1.19036
  -0.33695
   1.84589
  -1.19582
  -1.12699
  -0.25446
   1.59798
   0.33275
  -0.78315
  -1.11086
  -0.12423
  -0.19706
   2.21155
   2.53526
   0.59940
  -3.52742
  -3.11005
  -3.70518
  -4.13226
  -2.78872
  -3.88182
  -3.95114
  -4.04784
  -4.42991
  -3.70434
  -3.44204
  -4.34845
  -4.79300
  -4.07499
  -3.47353
  -4.57705
  -2.66408
  -4.70234
  -3.23840
  -2.86322
  -4.14014
  -3.86492
  -2.52814
  -3.90102
Metropolis acceptance rate for gamma = 0.25769



MCMCoprobit iteration 790001 of 1050000 
beta = 
   4.62628
  -0.16207
   3.03627
  -1.21047
   0.78155
   0.62139
  -0.15476
  -1.61825
   0.51530
   0.63346
  -0.74859
   1.52994
  -1.28184
  -1.79028
  -0.64193
   1.05230
  -0.40425
  -2.06155
  -1.43624
  -0.88219
  -0.41553
   1.32794
   1.71050
  -0.16518
  -3.72358
  -3.40613
  -4.07604
  -4.64306
  -3.14357
  -3.86339
  -4.70288
  -3.94473
  -5.73213
  -5.05309
  -3.82857
  -4.66124
  -5.11069
  -4.69271
  -4.76589
  -4.50471
  -3.80258
  -4.97814
  -3.88623
  -3.88707
  -4.20242
  -4.45573
  -3.24604
  -4.44593
Metropolis acceptance rate for gamma = 0.25776



MCMCoprobit iteration 800001 of 1050000 
beta = 
   3.87720
   0.43473
   4.45522
  -0.41957
   1.57659
   1.32700
   0.42593
  -1.20744
   1.25718
   1.41533
  -0.64029
   2.11398
  -0.69556
  -1.13339
  -0.06464
   1.62140
   0.11521
  -1.38497
  -0.51289
  -0.69163
   0.19042
   2.02377
   2.60380
   0.17154
  -2.91541
  -2.98042
  -3.37850
  -4.28820
  -1.98481
  -3.56740
  -3.69471
  -4.06076
  -4.77039
  -3.29414
  -3.09205
  -4.54167
  -4.27452
  -3.85495
  -4.27203
  -4.11937
  -3.39002
  -3.84097
  -3.29138
  -2.90755
  -3.86187
  -3.75936
  -2.03460
  -3.53979
Metropolis acceptance rate for gamma = 0.25780



MCMCoprobit iteration 810001 of 1050000 
beta = 
   4.21575
  -0.63272
   3.39131
  -1.02318
   2.04990
   1.21513
   0.41396
  -1.18145
   1.07631
   1.19498
  -0.16861
   1.54893
  -1.08188
  -1.38175
   0.25657
   1.27815
  -0.25455
  -1.70819
  -0.78678
  -0.66012
  -0.13322
   2.04486
   2.06325
   0.29515
  -3.44132
  -2.91478
  -3.58816
  -4.33035
  -2.48867
  -3.66850
  -4.83419
  -3.92866
  -5.19680
  -4.45555
  -3.81615
  -4.68140
  -4.73243
  -4.38988
  -4.41566
  -4.70505
  -3.23236
  -4.65573
  -3.19332
  -3.64507
  -4.53677
  -3.76187
  -2.90750
  -4.32091
Metropolis acceptance rate for gamma = 0.25784



MCMCoprobit iteration 820001 of 1050000 
beta = 
   3.58333
   0.40784
   4.65417
  -0.13396
   2.23007
   1.64853
   1.39312
  -0.46901
   1.69216
   1.69718
   0.12633
   1.74681
  -0.37356
  -0.71038
   0.22478
   2.02505
   0.33707
  -0.43613
  -0.28943
   0.13425
   0.61987
   2.68339
   2.80903
   0.84573
  -2.41979
  -1.52891
  -3.46721
  -3.56547
  -1.87295
  -2.96711
  -3.73213
  -3.68992
  -4.96711
  -3.61736
  -3.22649
  -3.92596
  -4.70157
  -3.50705
  -3.72372
  -4.05581
  -2.56613
  -3.30769
  -2.84660
  -2.81953
  -3.49456
  -3.35418
  -2.48698
  -3.56603
Metropolis acceptance rate for gamma = 0.25784



MCMCoprobit iteration 830001 of 1050000 
beta = 
   3.92805
   0.32409
   3.91145
  -0.43138
   1.58040
   1.27308
   0.71253
  -0.93483
   1.37101
   1.71282
  -0.15457
   1.43887
  -0.69043
  -0.86091
  -0.36016
   1.25716
   0.16134
  -0.89660
  -0.50742
  -0.46633
  -0.23414
   1.94173
   2.23445
   0.15980
  -3.09175
  -2.91392
  -3.07986
  -3.93614
  -2.47734
  -3.54220
  -3.72438
  -3.80809
  -5.24717
  -4.03392
  -3.62647
  -4.26777
  -4.44269
  -3.93941
  -3.83694
  -4.35393
  -3.26051
  -3.78422
  -3.40300
  -2.88591
  -4.10264
  -3.35781
  -2.41754
  -3.13618
Metropolis acceptance rate for gamma = 0.25789



MCMCoprobit iteration 840001 of 1050000 
beta = 
   4.10238
  -0.39876
   3.64107
  -0.46028
   0.98234
   1.14324
   0.49082
  -0.98969
   0.95785
   1.06412
  -0.37279
   1.62716
  -1.18411
  -1.20354
  -0.06179
   0.97575
  -0.18807
  -1.58560
  -0.31889
  -0.69670
  -0.14753
   1.89116
   2.48300
   0.30436
  -2.90260
  -2.87967
  -3.42282
  -3.54253
  -2.66158
  -3.77830
  -4.40868
  -3.98817
  -5.26732
  -3.94074
  -3.97414
  -4.24120
  -5.13905
  -3.97064
  -4.16372
  -4.08560
  -3.24912
  -4.20626
  -3.75940
  -2.96685
  -4.39933
  -4.04700
  -2.52759
  -3.50079
Metropolis acceptance rate for gamma = 0.25781



MCMCoprobit iteration 850001 of 1050000 
beta = 
   3.99357
   0.41073
   3.50647
  -0.73768
   1.39194
   1.32881
   0.89297
  -1.12033
   1.22377
   1.53935
  -0.20826
   1.87600
  -1.31074
  -1.01125
   0.00654
   1.25063
   0.38477
  -1.11816
  -0.53828
  -0.33689
  -0.08919
   1.75334
   2.16742
   0.19465
  -2.90812
  -2.58517
  -4.10171
  -3.80793
  -2.52606
  -3.71301
  -4.13382
  -4.16351
  -4.63413
  -3.70359
  -3.78616
  -3.77100
  -4.92312
  -4.06779
  -3.83028
  -4.72369
  -3.32955
  -4.02987
  -3.48539
  -3.28401
  -4.44035
  -4.05940
  -2.37415
  -3.90705
Metropolis acceptance rate for gamma = 0.25786



MCMCoprobit iteration 860001 of 1050000 
beta = 
   3.54527
   0.85485
   4.11669
   0.00496
   2.09522
   1.63250
   0.49295
  -1.09882
   1.57962
   1.75971
   0.58057
   2.11130
  -0.91454
  -0.28307
   0.43724
   2.16854
   0.97116
   0.07740
  -0.09503
  -0.11858
   0.39671
   2.33086
   2.69463
   0.83723
  -2.70006
  -2.69965
  -3.26411
  -3.35744
  -2.06881
  -2.51554
  -3.33977
  -3.81747
  -4.54074
  -3.09501
  -2.56070
  -3.58966
  -4.27201
  -3.73171
  -3.72289
  -3.59793
  -2.86137
  -3.27822
  -2.57395
  -2.56493
  -3.63779
  -3.57006
  -1.87453
  -3.13207
Metropolis acceptance rate for gamma = 0.25788



MCMCoprobit iteration 870001 of 1050000 
beta = 
   3.71641
   0.28244
   4.06490
  -0.36309
   1.84835
   1.42070
   0.99941
  -1.05272
   1.47549
   1.86668
  -0.01240
   2.44302
  -0.66209
  -0.40870
   0.62660
   1.96865
   0.35493
  -0.97638
  -0.21466
  -0.17318
   0.49576
   2.54572
   2.43756
   0.57330
  -3.10274
  -2.48668
  -3.13459
  -3.83974
  -2.18056
  -3.29283
  -3.60320
  -3.70577
  -4.93464
  -3.48363
  -2.81400
  -4.08328
  -4.17796
  -3.83288
  -3.50027
  -4.47113
  -2.85640
  -3.97794
  -3.16158
  -2.63064
  -3.69797
  -3.61775
  -2.59476
  -3.24072
Metropolis acceptance rate for gamma = 0.25777



MCMCoprobit iteration 880001 of 1050000 
beta = 
   3.87968
   0.35870
   3.59613
  -0.25224
   1.19147
   1.27580
   1.20614
  -1.08671
   1.38596
   1.52063
  -0.40319
   2.20294
  -1.01955
  -0.65351
   0.07877
   1.59356
   0.12561
  -0.90038
  -0.87997
  -0.19288
   0.34596
   2.13197
   2.38505
   0.43646
  -3.21630
  -2.10436
  -3.23768
  -3.91446
  -1.94624
  -3.06338
  -3.58202
  -4.31086
  -4.56578
  -3.50714
  -3.36659
  -4.50395
  -4.44679
  -3.89795
  -4.15467
  -3.88452
  -3.59351
  -3.64435
  -3.04023
  -2.89688
  -3.28478
  -4.04404
  -2.25931
  -3.64889
Metropolis acceptance rate for gamma = 0.25781



MCMCoprobit iteration 890001 of 1050000 
beta = 
   3.84171
   0.22540
   4.38819
  -0.11591
   1.37721
   1.56866
   0.96521
  -0.97333
   1.42063
   2.05447
   0.18305
   2.04560
  -0.63246
  -0.82722
   0.55969
   1.55200
   0.53168
  -0.76360
  -0.67555
  -0.20071
   0.55990
   2.31003
   2.85788
   0.68820
  -3.21621
  -3.06358
  -3.09406
  -3.98117
  -2.57967
  -3.50377
  -3.59022
  -3.91314
  -5.24795
  -3.41066
  -3.54297
  -4.02649
  -4.38657
  -4.10369
  -3.97682
  -3.32078
  -3.20226
  -4.41726
  -3.65154
  -2.66703
  -4.48076
  -3.17471
  -2.62590
  -3.63608
Metropolis acceptance rate for gamma = 0.25782



MCMCoprobit iteration 900001 of 1050000 
beta = 
   4.52497
  -0.27409
   3.51644
  -1.35171
   1.03547
   0.55869
   0.15372
  -1.75025
   1.10197
   1.23164
  -0.80778
   0.92062
  -1.39855
  -1.16689
  -0.12366
   1.15188
  -0.18788
  -1.57125
  -0.81709
  -0.79231
  -0.36545
   1.34213
   1.90643
   0.14321
  -3.43307
  -3.14111
  -3.92216
  -4.71842
  -3.16907
  -4.29569
  -4.26806
  -4.66386
  -5.20302
  -4.45727
  -4.08891
  -4.54894
  -5.27672
  -4.54748
  -4.41661
  -4.92843
  -3.39889
  -4.82134
  -3.78406
  -3.39190
  -4.93683
  -4.32853
  -3.26428
  -3.78742
Metropolis acceptance rate for gamma = 0.25778



MCMCoprobit iteration 910001 of 1050000 
beta = 
   4.01703
  -0.06487
   3.97589
  -0.63678
   1.51603
   0.85349
   0.89456
  -1.36356
   1.42014
   1.26982
  -0.35162
   1.89939
  -0.88252
  -0.90205
  -0.01645
   1.65223
   0.60220
  -1.17795
  -0.37459
  -0.07401
   0.07745
   2.20760
   2.63190
   0.38559
  -3.12602
  -2.77188
  -3.38008
  -4.06644
  -2.47735
  -3.43856
  -3.97272
  -3.57537
  -4.82623
  -3.38795
  -3.31428
  -4.41016
  -4.88025
  -4.05328
  -3.61078
  -4.88679
  -2.99855
  -4.26166
  -3.39303
  -3.46343
  -4.16913
  -3.91601
  -2.40773
  -3.75249
Metropolis acceptance rate for gamma = 0.25783



MCMCoprobit iteration 920001 of 1050000 
beta = 
   4.01098
  -0.12647
   3.94769
  -0.30079
   1.70505
   1.16332
   0.70670
  -1.07217
   0.90134
   1.31632
  -0.29697
   1.56034
  -1.02848
  -1.48719
   0.18470
   1.17781
  -0.28009
  -1.07977
  -0.00029
  -0.18423
   0.15829
   1.64930
   2.24060
   0.15411
  -3.47665
  -2.75487
  -3.34705
  -3.96879
  -2.61054
  -3.33752
  -4.16407
  -3.75821
  -5.03693
  -4.44488
  -3.77528
  -3.95889
  -4.62158
  -4.16438
  -4.20849
  -4.38931
  -2.67427
  -4.15625
  -3.66173
  -3.06873
  -4.38846
  -3.95842
  -2.32846
  -4.15039
Metropolis acceptance rate for gamma = 0.25784



MCMCoprobit iteration 930001 of 1050000 
beta = 
   3.86358
   0.53052
   4.10388
  -0.46040
   1.44820
   1.57653
   0.60397
  -1.54243
   1.11102
   1.85572
   0.21476
   1.98525
  -1.10449
  -0.95495
   0.38317
   1.31797
   0.53466
  -0.75071
  -0.10893
  -0.19884
   0.21944
   1.88958
   1.95977
   0.54496
  -2.72923
  -2.64672
  -3.59942
  -3.66233
  -2.14005
  -3.94885
  -3.91356
  -4.06263
  -4.26990
  -3.82803
  -3.65565
  -3.77958
  -4.25248
  -3.68142
  -3.88283
  -4.07798
  -3.10698
  -3.95170
  -3.14164
  -2.86326
  -3.31066
  -3.25180
  -2.12659
  -3.24509
Metropolis acceptance rate for gamma = 0.25776



MCMCoprobit iteration 940001 of 1050000 
beta = 
   3.44317
   0.31197
   4.72179
  -0.39004
   1.76917
   1.62526
   1.05802
  -0.84468
   1.20815
   1.87629
  -0.14954
   1.63334
  -0.79580
  -0.75630
   0.69492
   1.75796
   0.57486
  -1.13717
  -0.44159
  -0.46330
   0.07589
   2.34992
   2.25209
   0.67715
  -2.56978
  -2.43152
  -3.28373
  -3.06992
  -2.53933
  -3.10631
  -3.29616
  -3.04657
  -5.01037
  -2.90406
  -2.89136
  -3.37857
  -4.22362
  -3.64399
  -3.56891
  -3.86453
  -2.42393
  -3.35255
  -3.15337
  -2.49614
  -3.66495
  -3.56371
  -2.16734
  -2.94402
Metropolis acceptance rate for gamma = 0.25777



MCMCoprobit iteration 950001 of 1050000 
beta = 
   3.73239
   0.54578
   4.13293
  -0.38066
   1.65531
   2.17206
   1.29467
  -0.82678
   1.57522
   1.48589
   0.01052
   2.18388
  -0.87061
  -0.67778
  -0.12041
   2.11215
   0.08293
  -0.67852
  -0.47496
  -0.16407
   0.72974
   2.12991
   2.96869
   0.63139
  -2.93123
  -2.24184
  -3.45513
  -3.38128
  -2.15577
  -3.34067
  -3.82956
  -3.76336
  -4.23251
  -3.90660
  -2.58558
  -3.49249
  -4.24385
  -3.82149
  -3.83404
  -4.30047
  -3.09442
  -3.81442
  -3.33571
  -2.68643
  -3.53391
  -3.84102
  -1.99340
  -3.50746
Metropolis acceptance rate for gamma = 0.25772



MCMCoprobit iteration 960001 of 1050000 
beta = 
   4.52504
   0.15003
   3.70509
  -1.08113
   1.17971
   1.05162
   0.87658
  -1.43883
   1.17009
   1.47049
  -0.30852
   2.05251
  -1.37166
  -1.52172
   0.25434
   1.23599
  -0.05998
  -1.77248
  -0.95839
  -0.82733
  -0.00919
   1.79813
   2.23737
   0.56563
  -4.30906
  -3.21835
  -3.81265
  -3.94895
  -2.97205
  -3.90175
  -4.25790
  -4.05072
  -5.20673
  -3.88998
  -3.80434
  -4.96941
  -5.00888
  -4.79948
  -4.60524
  -5.10274
  -3.52254
  -4.48147
  -3.98915
  -3.88338
  -4.52255
  -4.22215
  -3.12036
  -4.12853
Metropolis acceptance rate for gamma = 0.25774



MCMCoprobit iteration 970001 of 1050000 
beta = 
   3.78762
   0.33992
   4.28065
  -0.26910
   1.23783
   1.70842
   0.50014
  -1.31692
   1.65310
   1.77603
   0.24722
   1.94962
  -1.00749
  -0.99781
   0.34564
   1.23352
   0.30946
  -1.25008
  -0.39821
   0.07720
   0.46545
   2.21493
   2.47580
   0.58782
  -2.52596
  -2.30754
  -3.29193
  -3.82291
  -2.23790
  -3.27524
  -3.96163
  -3.24376
  -5.09937
  -3.99924
  -2.97095
  -3.79944
  -4.78702
  -3.90203
  -3.85087
  -3.69440
  -3.07910
  -3.70804
  -3.78119
  -2.28154
  -3.73626
  -3.43232
  -2.68127
  -3.57000
Metropolis acceptance rate for gamma = 0.25775



MCMCoprobit iteration 980001 of 1050000 
beta = 
   3.91926
   0.95455
   4.30192
  -0.51793
   1.37188
   1.17940
   0.91153
  -0.87498
   1.40696
   1.53040
  -0.12745
   2.11331
  -1.00048
  -0.94605
   0.40424
   1.47848
   0.51439
  -1.18022
  -0.28982
   0.12077
   0.45563
   2.24132
   2.36927
   0.33002
  -3.43956
  -3.14322
  -3.18662
  -4.07591
  -2.68942
  -3.83282
  -4.29973
  -3.59069
  -4.68035
  -3.89345
  -3.24576
  -4.44782
  -4.44550
  -4.36825
  -3.94881
  -3.72965
  -3.84406
  -4.02104
  -3.23277
  -2.73123
  -3.95830
  -3.92301
  -2.39095
  -3.79190
Metropolis acceptance rate for gamma = 0.25774



MCMCoprobit iteration 990001 of 1050000 
beta = 
   4.03402
   0.45478
   3.39601
  -0.71455
   1.43286
   1.01278
   0.66782
  -0.70844
   1.20248
   1.55338
  -0.06703
   1.93583
  -0.58815
  -0.66904
   0.15216
   1.55578
   0.26644
  -0.72761
  -0.60986
  -0.17268
   0.36496
   2.13381
   2.29749
   0.58526
  -2.87196
  -2.39037
  -3.55745
  -4.05771
  -2.15932
  -3.25755
  -4.50676
  -3.99821
  -4.93350
  -3.97114
  -3.50360
  -3.98295
  -4.58170
  -4.60762
  -4.38597
  -3.82568
  -3.09866
  -4.44274
  -3.11017
  -3.24791
  -4.29478
  -3.66617
  -2.22988
  -3.45832
Metropolis acceptance rate for gamma = 0.25772



MCMCoprobit iteration 1000001 of 1050000 
beta = 
   3.50267
   0.69154
   4.13190
  -0.16527
   1.47429
   1.61052
   1.19749
  -0.97257
   1.73178
   2.09995
  -0.00517
   2.48622
  -0.76907
  -0.65220
   0.17080
   1.91770
   0.59288
  -0.68972
   0.08887
   0.19888
   0.34055
   2.51953
   2.98754
   0.84995
  -2.59456
  -2.37666
  -3.27464
  -3.49805
  -2.07112
  -3.11200
  -3.74500
  -3.61491
  -4.87281
  -3.71791
  -2.62604
  -4.12610
  -4.57066
  -3.64154
  -3.87240
  -4.07785
  -2.90467
  -3.36482
  -3.28551
  -2.57808
  -4.15754
  -3.54604
  -2.26253
  -3.42160
Metropolis acceptance rate for gamma = 0.25776



MCMCoprobit iteration 1010001 of 1050000 
beta = 
   3.88077
  -0.33433
   3.56958
  -0.48636
   1.71056
   1.36444
   0.68564
  -1.18465
   1.52807
   1.77513
  -0.57513
   1.72416
  -0.72279
  -0.97947
  -0.08029
   1.62201
   0.58507
  -0.72952
  -0.33207
  -0.20217
  -0.34850
   1.97360
   2.41978
   0.65631
  -2.91523
  -2.46289
  -2.97715
  -3.94015
  -2.26209
  -3.65980
  -4.06395
  -3.79103
  -4.62725
  -3.46902
  -3.74502
  -4.14460
  -4.86416
  -4.01220
  -3.73863
  -3.98372
  -2.75738
  -4.31172
  -3.78854
  -3.01067
  -3.72641
  -3.78442
  -2.93716
  -3.63152
Metropolis acceptance rate for gamma = 0.25776



MCMCoprobit iteration 1020001 of 1050000 
beta = 
   3.83408
   0.76511
   4.08685
  -0.42885
   1.50971
   1.25804
   0.75893
  -0.70786
   1.44398
   1.39800
   0.23115
   1.84653
  -0.24700
  -0.86343
  -0.24346
   1.51790
   0.28538
  -0.59707
  -0.73952
  -0.24692
   0.65167
   2.06083
   2.45474
   0.72499
  -3.02948
  -2.29861
  -3.09620
  -3.71094
  -2.15699
  -3.46723
  -3.81251
  -3.44184
  -4.87844
  -4.04441
  -3.27718
  -3.90596
  -4.36841
  -3.84266
  -3.99732
  -4.33688
  -3.05954
  -4.29552
  -3.27888
  -3.23702
  -3.70155
  -3.52230
  -2.48396
  -3.48753
Metropolis acceptance rate for gamma = 0.25770



MCMCoprobit iteration 1030001 of 1050000 
beta = 
   4.08803
  -0.33844
   3.45923
  -0.96270
   1.18591
   1.38783
   0.80676
  -1.29623
   0.97693
   1.18094
  -0.29940
   1.68474
  -1.47615
  -1.47075
   0.57188
   1.45184
   0.49540
  -1.48806
  -0.57810
  -0.17026
   0.07732
   1.99021
   2.42596
   0.46007
  -3.38405
  -3.20297
  -3.45152
  -3.86004
  -2.59626
  -3.72712
  -3.86815
  -4.04963
  -5.13526
  -4.30130
  -3.53773
  -4.40686
  -4.53576
  -4.15039
  -4.10704
  -4.51759
  -3.30425
  -3.97676
  -3.97414
  -3.40718
  -4.23154
  -3.96503
  -2.60140
  -4.31856
Metropolis acceptance rate for gamma = 0.25769



MCMCoprobit iteration 1040001 of 1050000 
beta = 
   3.14583
   0.93663
   4.34164
  -0.12734
   2.23608
   2.22450
   0.94785
  -0.60121
   1.63496
   1.96380
   0.56586
   2.39650
  -0.69154
  -0.72581
   0.99830
   2.07242
   1.05808
  -0.11537
   0.64284
  -0.10194
   0.73760
   2.20840
   2.86221
   0.82019
  -2.41207
  -2.07477
  -2.60343
  -3.00807
  -1.79585
  -2.88403
  -3.04972
  -3.06437
  -4.30248
  -2.95586
  -2.00348
  -3.39643
  -4.18805
  -3.55133
  -3.50953
  -4.18831
  -1.86295
  -3.40791
  -2.94605
  -2.06109
  -2.89779
  -3.39004
  -2.00490
  -3.02253
Metropolis acceptance rate for gamma = 0.25770



@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
The Metropolis acceptance rate for beta was 0.25776
@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
> 
> 
> save(a1.M2.out, file="MM3.2.a1.M2.out.Rda")
> 
> proc.time()
    user   system  elapsed 
1041.581    5.350 1137.636 
